A person takes 4 hours to cover 15 km at constant speed. At the same speed, how much time will be required to cover 63 km (express your answer in hours and minutes)?
Aptitude
Time and Distance
Difficulty: Easy
Choose an option
-
A12 h 36 min
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B16 h 48 min
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C16 h 4 min
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D15 h 32 min
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E14 h 24 min
Answer
Correct Answer: 16 h 48 min
Explanation
Introduction / Context:Uniform speed implies distance is proportional to time. You can compute the speed first, or scale time by the distance ratio.
Given Data / Assumptions:
- 15 km in 4 h → speed = 3.75 km/h.
- Target distance = 63 km.
Concept / Approach:Time = distance / speed; or scale 4 h by the factor 63/15.
Step-by-Step Solution:
Speed v = 15 / 4 = 3.75 km/hTime t = 63 / 3.75 = 16.8 hoursConvert 0.8 h to minutes: 0.8 * 60 = 48 min → 16 h 48 minVerification / Alternative check:Proportion method: 4 h * (63/15) = 4 * 4.2 = 16.8 h = 16 h 48 min.
Why Other Options Are Wrong:They correspond to other multipliers or rounding errors.
Common Pitfalls:Misconverting decimal hours to minutes; using 3.8 instead of 3.75 by mistake.
Final Answer:16 h 48 min